If the operation $\oplus$ is defined by $a \oplus b = a^{2} + b^{2}$ for all real numbers $^{'} a^{'}$ and $^{'} b^{'}$ , the $(2 \oplus 3) \oplus 4 =$

120

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175

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129

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185

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312

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Solution

The correct option is D $185$
We have $(2 \oplus 3) \oplus 4 = (2^{2} + 3^{2}) \oplus 4 = 13 \oplus 4 = 13^{2} + 4^{2} = 169 + 16 = 185$ [the given condition $a \oplus b = a^{2} + b^{2}$ ]

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Similar questions

If the operation $\oplus$ is defined by $a \oplus b = a^{2} + b^{2}$ for all real numbers ‘a’ and ‘b’, then $(2 \oplus 3) \oplus 4 =$

⨁

a ⨁ b = a^{2} + b^{2}

a

b

(2 ⨁ 3) ⨁ 4

*

a * b = a^{2} + b^{2}

^{'} a^{'}

^{'} b^{'}

(2 * 3) * 4 =

a * b = \sqrt{a^{2} + b^{2}} for all a, b \in R .

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